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Finding the Fourth Proportional to 9,596.42, 14,395.62 and 2,670.92

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Solution

The fourth proportional to 9,596.42, 14,395.62 and 2,670.92 is: 4,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.42 : 14,395.62 = 2,670.92 : x
  2. Step 2: Convert to fraction form
    9,596.42/14,395.62 = 2,670.92/x
  3. Step 3: Cross multiply
    9,596.42x = 14,395.62 × 2,670.92
  4. Step 4: Simplify right side
    9,596.42x = 38,449,549.37
  5. Step 5: Solve for x
    x = 38,449,549.37/9,596.42
  6. Step 6: Final answer
    x = 4,006.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.